COMPLEX, ENERGY-INDEPENDENT, LOCAL POTENTIAL REPRODUCING AN ABSORPTIVE PHASE-SHIFT AND A BOUND-STATE

The triton binding energy, and the partly real and partly complex neut ron-deuteron doublet channel elastic scattering phase shifts, calculat ed by means of the exact three-body theory, are used as input in the f ixed-l inverse scattering theory of Marchenko. The local potentials ob tained hereby are independent of energy, and complex. Their strong ima ginary part reflects the strong absorption in the doublet channel aris ing from the opening of the deuteron breakup channel. For total orbita l angular momentum l different from zero the potentials are unique, re producing the input phase shift in the whole energy region. For l = 0 where there exists, in addition, a bound state we construct a one-para meter class of complex local potentials which are phase-binding-energy equivalent; that is, each of its members reproduces, in addition to t he partly complex phase shifts, the bound state with the physical, i.e ., real binding energy. Correlations between the oscillations in the r adial dependence of these equivalent potentials and physical propertie s of the input data are established.